Improved lower bounds for the Split Delivery Vehicle Routing Problem

被引：34
|
作者：
Moreno, Lorenza [1 ]
de Aragao, Marcus Poggi [1 ]
Uchoa, Eduardo [2 ]
机构：
[1] PUC Rio, Dept Informat, Porto Alegre, RS, Brazil
[2] Univ Fed Fluminense, Dept Prod Engn, BR-24220000 Niteroi, RJ, Brazil
来源：
OPERATIONS RESEARCH LETTERS | 2010年 / 38卷 / 04期
关键词：
Split Delivery; Extended formulation; Column generation; Cutting-plane algorithm; CUT-AND-PRICE; ALGORITHMS;
D O I：
10.1016/j.orl.2010.04.008
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
This paper presents an algorithm to obtain lower bounds for the Split Delivery Vehicle Routing Problem. An extended formulation over a large set of variables is provided and valid inequalities are identified. The algorithm combined column and cut generation and improved the best known lower bounds for all instances from the literature. Some reasonably sized instances are solved to optimality for the first time. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：302 / 306
页数：5
相关论文
共 50 条
  • [41] Comparative mathematical models for split delivery simultaneous pickup and delivery vehicle routing problem
    Bayrak, Ayse
    Ozyoruk, Bahar
    JOURNAL OF THE FACULTY OF ENGINEERING AND ARCHITECTURE OF GAZI UNIVERSITY, 2017, 32 (02): : 469 - 479
  • [42] Improved bounds for vehicle routing solutions
    Bompadre, Agustin
    Dror, Moshe
    Orlin, James B.
    DISCRETE OPTIMIZATION, 2006, 3 (04) : 299 - 316
  • [43] Improved lower bounds and exact algorithm for the capacitated arc routing problem
    Enrico Bartolini
    Jean-François Cordeau
    Gilbert Laporte
    Mathematical Programming, 2013, 137 : 409 - 452
  • [44] Improved lower bounds and exact algorithm for the capacitated arc routing problem
    Bartolini, Enrico
    Cordeau, Jean-Francois
    Laporte, Gilbert
    MATHEMATICAL PROGRAMMING, 2013, 137 (1-2) : 409 - 452
  • [45] Optimal Routing for Split Delivery Vehicle Routing Problems
    Chen, Ruey-Maw
    Guo, Jia-Ci
    2018 7TH INTERNATIONAL CONGRESS ON ADVANCED APPLIED INFORMATICS (IIAI-AAI 2018), 2018, : 667 - 670
  • [46] A route decomposition approach for the single commodity Split Pickup and Split Delivery Vehicle Routing Problem
    Casazza, Marco
    Ceselli, Alberto
    Calvo, Roberto Wolfler
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2021, 289 (03) : 897 - 911
  • [47] A heuristic with a performance guarantee for the commodity constrained split delivery vehicle routing problem
    Petris, Matteo
    Archetti, Claudia
    Cattaruzza, Diego
    Ogier, Maxime
    Semet, Frederic
    NETWORKS, 2024, 84 (04) : 446 - 464
  • [48] On the feasibility of solutions to the split delivery vehicle routing problem represented as edge variables
    de Araujo, Daniel
    de Araujo, Daniel
    Uchoa, Eduardo
    OPERATIONS RESEARCH LETTERS, 2025, 58
  • [49] Green split multiple-commodity pickup and delivery vehicle routing problem
    Zhao, Jiao
    Dong, Hongxia
    Wang, Ning
    COMPUTERS & OPERATIONS RESEARCH, 2023, 159
  • [50] THE BOUNDED SPLIT DELIVERY VEHICLE-ROUTING PROBLEM WITH GRID NETWORK DISTANCES
    FRIZZELL, PW
    GIFFIN, JW
    ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH, 1992, 9 (01) : 101 - 116
12345